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StructureAccounting

Struct StructureAccounting 

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pub struct StructureAccounting {
    pub n: usize,
    pub orbits: usize,
    pub covered_by_degree: Vec<usize>,
    pub structureless: usize,
}
Expand description

Structure accounting — the answer to “how many minimal-UNSAT families have no structure, and how does cheap structure run out?” For each n: the cumulative number of orbits covered by a certified proof of degree ≤ d (covered_by_degree[d]), and the structureless count = orbits with no bounded certificate at all (rung = beyond-budget). The honest finding at n ≤ 4: structureless = 0 — every minimal-UNSAT cover is algebraically structured (degree ≤ n). Nothing at finite n is truly random; but the degree the structure requires grows with n (= n), so any fixed-degree (“cheap”) lens covers a shrinking fraction. That reconciles “no finite randomness” with the counting bound: structure always exists, but cheap structure runs out.

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§n: usize§orbits: usize§covered_by_degree: Vec<usize>

covered_by_degree[d] = orbits refutable by a certified proof of degree ≤ d, d = 0..=n.

§structureless: usize

Orbits with no bounded certificate (rung = beyond-budget) — the truly-structureless count.

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impl Clone for StructureAccounting

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fn clone(&self) -> StructureAccounting

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for StructureAccounting

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

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type Owned = T

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fn to_owned(&self) -> T

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type Error = Infallible

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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

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type Error = <U as TryFrom<T>>::Error

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